Finding the Fourth Proportional to 1,084.50, 1,624.59 and 535.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.50 : 1,624.59 = 535.02 : x
2. Step 2: Convert to fraction form
   1,084.50/1,624.59 = 535.02/x
3. Step 3: Cross multiply
   1,084.50x = 1,624.59 × 535.02
4. Step 4: Simplify right side
   1,084.50x = 869,188.14
5. Step 5: Solve for x
   x = 869,188.14/1,084.50
6. Step 6: Final answer
   x = 801.46